#054.2 - Graph Quadratic Equations

A quadratic function is a function that is shaped as a ___________, a u-shaped curve.

• line
• parabola
• quadratic
• square

A vertical line that cuts the parabola into 2 symmetrical halves. This always goes through the vertex and ALWAYS begins with "x=" This is sometimes called the "line of symmetry".

• Parabola

• Quadratic

• Axis of Symmetry

• Domain

Standard form of a quadratic equation

• y=x²
• y=ax²+bx+c
• y=mx+b
• y=x

The vertex is defined as:

• The maximum.

• The minimum.

• The highest or lowest point of the parabola.

• The vertical height of the parabola

Which of the following is NOT a quadratic equation?

•  $ax^2+5x-7=0$  

•  $\left(x+2\right)\left(x-3\right)=10$  

•  $x+2=0$  

Review: What are the vertex and axis of symmetry for the given graph?

• Vertex (1, -4) Axis of Symmetry: x=1

• Vertex (1, -4) Axis of Symmetry x = -4

• Vertex (-4, 1) Axis of Symmetry x=-4

• Vertex (-4, 1) Axis of Symmetry x = 1

Which parabola would open down?

• f(x)=x²

• f(x)=-x²+3x-6

• f(x) = x²-16

• f(x)=2x²-5x+7

What is the axis of symmetry? Use the formula  $-\frac{b}{2a}$  .
f(x) = x2 - 8x + 15.

• x = -4

• x = 4

• y = 4

• y = -4

What is the axis of symmetry?  $-\frac{b}{2a}$  
y = 3x2 - 6x + 4

• x=1

• x=-6

• x=2

• x=-1

What is the vertex?  $-\frac{b}{2a}$  
f(x) = -x2 - 4x + 12.

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)